GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Jul 2018, 06:58

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If y + 40x + 2 = 0, what is the value of xy?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
B
Joined: 06 Oct 2012
Posts: 7
If y + 40x + 2 = 0, what is the value of xy?  [#permalink]

Show Tags

New post Updated on: 06 Sep 2017, 09:31
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (01:01) correct 16% (01:01) wrong based on 63 sessions

HideShow timer Statistics

If y + 40x + 2 = 0, what is the value of xy?

(1) 16x = –4y + 28

(2) 13y = 91 – 52x

Originally posted by dheerajkaushik90 on 06 Sep 2017, 09:26.
Last edited by Bunuel on 06 Sep 2017, 09:31, edited 2 times in total.
Added the OA.
Intern
Intern
avatar
B
Joined: 06 Oct 2012
Posts: 7
Re: If y + 40x + 2 = 0, what is the value of xy?  [#permalink]

Show Tags

New post 06 Sep 2017, 09:50
Could someone please help me with the explanation.
Since both the equations are simplified to form:

4x+y =7

How do we get xy in this case?
Manager
Manager
User avatar
B
Joined: 18 Apr 2016
Posts: 67
Location: India
GMAT 1: 510 Q46 V17
WE: Web Development (Energy and Utilities)
Re: If y + 40x + 2 = 0, what is the value of xy?  [#permalink]

Show Tags

New post 06 Sep 2017, 10:05
1. We have two equation. Sufficient to find x and y values

Eliminate BCE

2. We have two equation. Sufficient to find x and y values

Hence, its D

Sent from my KIW-L22 using GMAT Club Forum mobile app
_________________

-Yuvaraj
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Stop searching someone to motivate you.

Intern
Intern
avatar
B
Joined: 19 Sep 2016
Posts: 35
Re: If y + 40x + 2 = 0, what is the value of xy?  [#permalink]

Show Tags

New post 06 Sep 2017, 10:47
Statement 1 - solving the two equations x=-1/4 & y=8 hence xy=-2
Statement 2 - since it the same line hence the values of x & y will be the same as from statement 1. Hence answer is D

Sent from my SM-N920G using GMAT Club Forum mobile app
Director
Director
User avatar
D
Joined: 04 Dec 2015
Posts: 700
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: If y + 40x + 2 = 0, what is the value of xy?  [#permalink]

Show Tags

New post 07 Sep 2017, 07:08
dheerajkaushik90 wrote:
If y + 40x + 2 = 0, what is the value of xy?

(1) 16x = –4y + 28

(2) 13y = 91 – 52x

\(y + 40x + 2 = 0\) --------- (i)

(1) \(16x = –4y + 28\)

\(4x = -y + 7\)

\(y + 4x = 7\) -------- (ii)

Subtracting (i) and (ii) we can find the value of \(x\) and \(y\). Hence we can find the value of \(xy\).

Hence I is Sufficient.

(2) \(13y = 91 – 52x\)

\(y = 7 - 4x\)

\(y + 4x = 7\) ---------- (iii)

Subtracting (i) and (iii) we can find the value of \(x\) and \(y\). Hence we can find the value of \(xy\).

Hence II is Sufficient.

Answer (D)...
Intern
Intern
avatar
B
Joined: 19 Sep 2016
Posts: 35
Re: If y + 40x + 2 = 0, what is the value of xy?  [#permalink]

Show Tags

New post 07 Sep 2017, 08:21
What is the OA for the question

Sent from my SM-N920G using GMAT Club Forum mobile app
Expert Post
Top Contributor
CEO
CEO
User avatar
P
Joined: 12 Sep 2015
Posts: 2636
Location: Canada
Re: If y + 40x + 2 = 0, what is the value of xy?  [#permalink]

Show Tags

New post 11 May 2018, 08:50
Top Contributor
dheerajkaushik90 wrote:
If y + 40x + 2 = 0, what is the value of xy?

(1) 16x = –4y + 28

(2) 13y = 91 – 52x


Target question: What is the value of xy?

Given: y + 40x + 2 = 0
Rearrange to get: 40x + y = -2

IMPORTANT: We are given one linear equation. If we given a different linear equation, then we can be certain to solve the system of equations for x and y, which means we can determine the value of xy
So, we need only determine whether each statement provides a linear equation that is different from the given linear equation (40x + y = -2)

Statement 1: 16x = –4y + 28
Divide both sides by 4 to get: 4x = -y + 7
Add y to both sides: 4x + y = 7
This second linear equation is different from the given linear equation (40x + y = -2)
This means we COULD solve the system of equations for x and y, which means we COULD determine the value of xy
Since we COULD answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 13y = 91 – 52x
Divide both sides by 13 to get: y = 7 - 4x
Add 4x to both sides: 4x + y = 7
This is the same equation that we have in statement 1.
So, if statement 1 is sufficient, we can also be certain that statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Re: If y + 40x + 2 = 0, what is the value of xy? &nbs [#permalink] 11 May 2018, 08:50
Display posts from previous: Sort by

If y + 40x + 2 = 0, what is the value of xy?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.